Signed graphs with maximal index

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August undefined, 2024

WebAug 26, 2024 · On the Signed Complete Graphs with Maximum Index 1 Introduction. Let G be a simple graph with the vertex set V ( G) and the edge set E ( G ). The order of G is … WebSigned graphs with maximal index, with A. Majidi, Discrete Math. 344 (2024), 112463, ... Maximal graphs with respect to rank, with H. Esmailian, S. Hossein Ghorban, G.B. Khosrovshahi, Discrete Math. 344 (2024), 112191, 11 pp. See here for the data sets of maximal graphs reported in the paper.

Signed graphs with maximal index - ScienceDirect

WebThe index λ 1 ( Γ) of a signed graph Γ = ( G, σ) is just the largest eigenvalue of its adjacency matrix. For any n ⩾ 4 we identify the signed graphs achieving the minimum index in the class of signed bicyclic graphs with n vertices. Apart from the n = 4 case, such graphs are obtained by considering a starlike tree with four branches of ... WebKeywords: signed graph, complete graph, index. 2010 Mathematics Subject Classi cation: 05C22, 05C50. ... of negative edges with maximal index, Linear Multilinear Algebra65 … greater st. john m.b. church nashville tn

[2101.01503] Signed graphs with maximal index - arXiv.org

WebContact details. Email [email protected]. Telephone +44 (0)1786 467468. My personal webpage. 0000-0003-4878-3203. WebApr 30, 2024 · Some calculation results on the Wiener complexity and the Wiener index of fullerene graphs of order n ≤ 232 and IPR fullerene graphs of order n ≤ 270 are presented. The structure of graphs with the maximal Wiener complexity or the maximal Wiener index is discussed, and formulas for the Wiener index of several families of graphs are obtained. WebFeb 27, 2003 · We propose a new linear time algorithm to represent a planar graph. Based on a specific triangulation of the graph, our coding takes on average 5.03 bits per node, and 3.37 bits per node if the graph is maximal. We derive from this representation that the number of unlabeled planar graphs with n nodes is at most 2 n + O (log n ), where 5. greater st joseph ame church

An Information-Theoretic Upper Bound of Planar Graphs Using ...

SIGNED COMPLETE GRAPHS WITH MAXIMUM INDEX

WebThe symmetries of the system graph represented by S are also shown to aid in the choice of a potential leader vertex that is able to control the follower subgraph on its own. Moreover, we define k-omnicontrollable graphs for controllability by any k leaders and show that simple 1-omnicontrollable graphs have only two possible automorphism groups. WebUtilize our helpful little and big boy's jeans size chart to find the right fit. Our boy jogger pants are perfect for days at the park or lounging around the house playing video games. Not to mention, our boy’s sweatpants pair nicely with their … flintstones family halloween costumesWebAug 3, 2024 · Connected signed graphs with 4 vertices ordered by the index. Here and in the subsequent graphical representations, signed graphs are depicted according to the … greater st john missionary baptist church

"WebFeb 5, 2024 · Let be a signed graph, where G is the underlying simple graph and is the sign function on the edges of G. In this paper we consider the spectral characterization … " - Signed graphs with maximal index

Signed graphs with maximal index

WebNov 2, 2024 · Abstract In this paper we focus on connected signed graphs of fixed number of vertices, positive edges and negative edges that maximize the largest eigenvalue (also … WebIn this paper we focus on connected signed graphs of fixed number of vertices, positive edges and negative edges that maximize the largest eigenvalue (also called the index) ...

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WebThe Estrada index of a simple connected graph G of order n is defined as E E (G) = ∑ i = 1 n e λ i, where λ 1, λ 2, …, λ n are the eigenvalues of the adjacency matrix of G. In this paper, we characterize all tetracyclic graphs of order n with maximal Estrada index. WebThe USB Type-C with front and rear USB 3.2 Gen 1 ports provide with speeds up to 5Gbps. With doubled bandwidth compared to the previous generation as well as backward compatibility with USB 2.0, the improved USB protocol is available now over the new reversible USB Type-C™ and the traditional USB Type-A connector for better compatibility …

WebJan 5, 2024 · In this paper, we show that every (2n-1 + 1)-vertex induced subgraph of the n-dimensional cube graph has maximum degree at least n. This is the best possible result, … WebSep 25, 2024 · For slot of graphs (and random graphs in particular), the largest eigenvalue is about the largest degree in the graph, so you can find matrices where the difference between the largest eigenvalue and the largest diagonal …

WebJan 1, 2024 · LetĠ = (G, σ) be a signed graph, and let ρ(Ġ) (resp. λ 1 (Ġ)) denote the spectral radius (resp. the index) of the adjacency matrix AĠ. In this paper we detect the signed … WebIn this paper we consider cube graphs, that is intersection graphs of maximal hypercubes of graphs. In contrast to the related concepts of line graphs and clique graphs, we show that any graph is a cube graph of a (bipartite) graph. We answer a question ...

WebMar 30, 2024 · Following this, I take a new sentence, creating a directed graph of this sentence (call this graph SubG) and then looking for the Maximum Common Subgraph of SubG in MainG. I am using NetworkX api in Python 3.5. I understand that as this is NP-Complete problem for normal graphs, but for Directed Graphs it is a Linear problem.

Web3' Question 7 2 pts If a population that can be modeled using the logistic equation has a per capita growth rate 'r' of 0.2, a current population size of 2500, and a carrying capacity of 2000, what is the rate of increase in the population? 0 -0.25 o -125 O 125 o 2000 LJ You are a disease ecologist interested in E. coli transmission in Canada Geese. flintstones fandomWebAdoption of 2.5G LAN provide up to 2.5GbE network connectivity, with at least 2 times faster transfer speeds compared to general 1GbE networking, perfectly designed for gamers with ultimate online gaming experience. Support Multi-Gig (10/100/1000/2500Mbps) RJ-45 Ethernet. Connecting the Future - USB 3.2 Gen 2x2 Type-C ®. flintstones family namesWebMay 25, 2024 · On the one hand, we show that in the set of connected graphs with fixed order and size, the graphs with the maximum . A α-index are the nested split graphs (i.e. threshold graphs). On the other hand, we establish some upper and lower bounds on the A α -index of nested split graphs using eigenvector techniques. flintstones father\\u0027s day marathonWebFeb 7, 2024 · AbstractIn this paper our focus is on regular signed graphs with exactly 3 (distinct) eigenvalues. We establish certain basic results; for example, we show that they are walk-regular. We also give some constructions and determine all the signed graphs with 3 eigenvalues, under the constraint that they are either signed line graphs or have vertex … greaterstlincWebAug 26, 2024 · Let \ (\Gamma = (K_ {n},H^-)\) be a signed complete graph whose negative edges induce a subgraph H. The index of \ (\Gamma\) is the largest eigenvalue of its … flintstones father\u0027s day marathonWebIt is proved that if is a signed complete graph of order n with k negative edges, k ---lt--- n − 1 and has maximum index, then negative edges form K1,k and this conjecture is proved if … greaterstlinc.comhttp://comb-opt.azaruniv.ac.ir/article_14348.html greater stl book fair